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Determine whether the ordered pair is a solution of the given system of equations.$$\left(\frac{1}{2}, 3\right),\left\{\begin{array}{l}{2 x+y=4} \\{4 x-11=3 y}\end{array}\right.$$
Not a solution
Algebra
Chapter 4
Systems of Linear Equations and Inequalities
Section 1
Solving Systems of Equations by Graphing
Equations and Inequalities
Systems of Equations and Inequalities
Oregon State University
Harvey Mudd College
University of Michigan - Ann Arbor
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So we've got the point. 1/2 comma three and we've got a system two X plus y equals four. Okay. And the other equation is for X minus 11 31 or X minus 11 equals three wives. So we try it out, we plug it in. So two times Axe few times 1/2. Plus why three equals four, Two times 1/2 is one and one plus three mics for so we're good. Then on the second equation, we go four times x four times 1/2 minus 11. Does that equal? Three wise of three times three. This is two minus 11 and this is nine. Note because we have, uh this is not a solution. Sorry, because to minus 11 is negative nine. So it's not a solution. Just make sure you're checking your positives and negatives. I almost wrote that it was a solution, but it's not a solution, because we have Ah, two. Minus 11 is Nick
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